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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"brahmagupta's formula"" "subject:"brahmagupta's ormula""

1

Izoperimetrické nerovnosti / Isoperimetric inequalities

Bártlová, Tereza January 2012 (has links)
In the present work we study isoperimetric problem and its description by isoperimetric inequality. The legend of Dido, which inspired formulation of the isoperimetric problem, is described in the first chapter. The following chapters are devoted to elementary proofs of isoperimetric inequality for polygons as well as for curves. The last chapter focuses on related problem than isoperimetric that is isodiametric problem. This is described Reuleaux polygon that constitutes a means for proof of isodiametric inequality.
2

Trigonometry: Applications of Laws of Sines and Cosines

Su, Yen-hao 02 July 2010 (has links)
Chapter 1 presents the definitions and basic properties of trigonometric functions including: Sum Identities, Difference Identities, Product-Sum Identities and Sum-Product Identities. These formulas provide effective tools to solve the problems in trigonometry. Chapter 2 handles the most important two theorems in trigonometry: The laws of sines and cosines and show how they can be applied to derive many well known theorems including: Ptolemy¡¦s theorem, Euler Triangle Formula, Ceva¡¦s theorem, Menelaus¡¦s Theorem, Parallelogram Law, Stewart¡¦s theorem and Brahmagupta¡¦s Formula. Moreover, the formulas of computing a triangle area like Heron¡¦s formula and Pick¡¦s theorem are also discussed. Chapter 3 deals with the method of superposition, inverse trigonometric functions, polar forms and De Moivre¡¦s Theorem.
Sum Identities
Difference Identities
Double-Angle Identities
Product-Sum Identities
Sum-Product Identities
Ceva's Theorem
Menelaus's Theorem
Ptolemy's Theorem
Law of Sines
Law of Cosine
Euler Triangle Formula
Inverse Trigonometric Functions
Euler's Formula
De Moivre's Theorem
Pick's Theorem
Weitzenbock's Inequality
Heron' Formula
Polar Coordinates
Angle Bisector Formula
Brahmagupta's Formula
Median Formula
Stewart's Theorem
Parallelogram Law

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